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1000213132213 is a prime number
BaseRepresentation
bin11101000111000010101…
…10010011001110110101
310112121201120110122220201
432203201112103032311
5112341414030212323
62043254102400501
7132156133226521
oct16434126231665
93477646418821
101000213132213
11356208268319
12141a21430131
13734204a0289
14365a6886d81
151b0403168ad
hexe8e15933b5

1000213132213 has 2 divisors, whose sum is σ = 1000213132214. Its totient is φ = 1000213132212.

The previous prime is 1000213132211. The next prime is 1000213132307. The reversal of 1000213132213 is 3122313120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 719522973009 + 280690159204 = 848247^2 + 529802^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000213132213 - 21 = 1000213132211 is a prime.

Together with 1000213132211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000213132211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500106566106 + 500106566107.

It is an arithmetic number, because the mean of its divisors is an integer number (500106566107).

Almost surely, 21000213132213 is an apocalyptic number.

It is an amenable number.

1000213132213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000213132213 is an equidigital number, since it uses as much as digits as its factorization.

1000213132213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1000213132213 its reverse (3122313120001), we get a palindrome (4122526252214).

The spelling of 1000213132213 in words is "one trillion, two hundred thirteen million, one hundred thirty-two thousand, two hundred thirteen".